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| Fig(vi) |
Difference of sets Let A and B be two sets. The difference of A and B written as A – B, is the set of all those elements of A which do not belong to set B Thus A – B={ x : x ∈ A and x ∉ B} or A – B={ x…
Semi-Open or Semi-Closed interval If a and b are two real numbers such that a < b, then the sets (a, b] = { x : x ∈ R, a < x ≤ b} and [a, b)={ x 😡 ∈ R, a ≤ x < b are known as semi-open or semi-closed intervals . (a,…
Types of relation Void relation:- Let A be a set. Then, Φ ⊆ A x A and so it is a relation on A. This relation is called the void or empty relation on set A. In other words, a relation R on a set A is called void or empty relation, if no element…
Intersection of sets Let A and B be two sets. The intersection of A and B is the set of all those elements that belongs to both A and B. See in Fig(v) shaded region show A∩B We denote A intersection B by notation “A ∩ B” Thus A∩B = { x : x ∈…
Macroscopic and Microscopic Approaches The behaviour of matter can be studied by two approaches 1. Macroscopic approach, 2. Microscopic approach 1. Macroscopic approach – In the macroscopic approach a certain quantity of matter is considered for study without knowing the behaviour of individual…
Ordered pairs An ordered pairs consists of two objects or elements in a given fixed order. For example, if A and B are any two sets, then by an ordered pair of elements we mean a pair (a, b) in that order, where a ∈ A, b ∈…
